GCD of 856, 258, 42, 449 Calculator

Given Input numbers are 856, 258, 42, 449

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Greatest Common Divisior

We found the divisors of 856, 258, 42, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 258, 42, 449 is 1.

Therefore, GCD of numbers 856, 258, 42, 449 is 1

Given Input Data is 856, 258, 42, 449

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 449 is 449

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(856, 258) = 110424

GCD(856, 258) = ( 856 x 258 ) / 110424

GCD(856, 258) = 220848 / 110424

GCD(856, 258) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 449

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 449) = 898

GCD(2, 449) = ( 2 x 449 ) / 898

GCD(2, 449) = 898 / 898

GCD(2, 449) = 1

GCD of 856, 258, 42, 449 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 494, 74, 307
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• GCD of 575, 591, 42, 307

1. What is the GCD of 856, 258, 42, 449?

GCD of 856, 258, 42, 449 is 1

2. Where do I get the detailed procedure to find GCD of 856, 258, 42, 449?

You can find a detailed procedure to find GCD of 856, 258, 42, 449 on our page.

3. How to find GCD of 856, 258, 42, 449 on a calculator?

You can find the GCD of 856, 258, 42, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.